2018/09/06 by Sebastian Mizera, Barbara Skrzypek · 1 voice · 65 citations
Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Boson #Coupling (piping) #Effective field theory #Field (mathematics) #Gauge (firearms) #Gauge theory #Goldstone boson #Order (exchange) #Parametrization (atmospheric modeling) #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1007/jhep10(2018)018
published in Journal of High Energy Physics 2018(10) (Springer Nature) · 44 pages
arxiv created 2018/09/06 · arxiv published 2018/09/06 · openalex created_date 2018/09/27 · openalex publication_date 2018/10/01 · arxiv updated 2018/10/08 · openalex updated_date 2026/08/05
A bstract Perturbiner expansion provides a generating function for all Berends-Giele currents in a given quantum field theory. We apply this method to various effective field theories with and without color degrees of freedom. In the colored case, we study the U( N ) non-linear sigma model of Goldstone bosons (NLSM) in a recent parametrization due to Cheung and Shen, as well as its extension involving a coupling to the bi-adjoint scalar. We propose a Lagrangian and a Cachazo-He-Yuan formula for the latter valid in multi-trace sectors and systematically calculate its amplitudes. Furthermore, we make a similar proposal for a higher-derivative correction to NLSM that agrees with the subleading order of the abelian Z-theory. In the colorless cases, we formulate perturbiner expansions for the special Galileon and Born-Infeld theories. Finally, we study Kawai-Lewellen-Tye-like double-copy relations for Berends-Giele currents between the above colored and colorless theories. We find that they hold up to pure gauge terms, but without the need for further field redefinitions.